Finding the Third Proportional to 20,760 and 45,384

Step by Step Solution

1. Step 1: Write the proportion equation
   20,760 : 45,384 = 45,384 : x
2. Step 2: Convert to fraction form
   20,760/45,384 = 45,384/x
3. Step 3: Cross multiply
   20,760x = 45,384 × 45,384
4. Step 4: Simplify right side
   20,760x = 2,059,707,456
5. Step 5: Solve for x
   x = 2,059,707,456/20,760
6. Step 6: Final answer
   x = 99,215.20